Answer:
Domain: all real numbers. Range: (-∞, 2000]
Step-by-step explanation:
f(x)=2.5x is a simple "ramp" function, a linear function and a polynomial. As such, its domain contains "all real numbers." That value 800 defines the largest value that this f(x) can have: f(800) = 2.5(800) = 2000.
Thus, the range is "all real numbers from -∞ through and including 2000."
8π/5 radians
Hope this helped
Answer:
So, the inequality is
![x(125-x)\geq 2500](https://tex.z-dn.net/?f=x%28125-x%29%5Cgeq%202500)
Step-by-step explanation:
Since, the shape of ocean front is rectangular
Let's assume length of rectangle is x feet
width of rectangle us y feet
we are given
An ocean front lot has a perimeter of 250 feet
so, we get
![2x+2y=250](https://tex.z-dn.net/?f=2x%2B2y%3D250)
now, we can solve for y
![x+y=125](https://tex.z-dn.net/?f=x%2By%3D125)
![y=125-x](https://tex.z-dn.net/?f=y%3D125-x)
now, we can find area
![Area=xy](https://tex.z-dn.net/?f=Area%3Dxy)
now, we can plug back y
![Area=x(125-x)](https://tex.z-dn.net/?f=Area%3Dx%28125-x%29)
an area of at least 2500 square feet
so, we get
![x(125-x)\geq 2500](https://tex.z-dn.net/?f=x%28125-x%29%5Cgeq%202500)
By direct division, we will find that the length of each piece of rope is 10.5m
<h3>
How to perform the division?</h3>
So e start with a 42 meter long rope and we cut it into 4 equal parts, then we know that each one of these pieces will have a length equal to:
L = (42m/4)
To perform that division, you can see that 42<u> is not a multiple of 4</u>, so we can write:
L = (40m + 2m)/4 = (40m/4) + (2m/4)
The first quotient is just equal to 10m, while the second one is:
(2m/4) = (1m/2) = 0.5m
Then we have:
L = (40m/4) + (2m/4) = 10m + 0.5m = 10.5m
Each piece of rope has a length of 10.5m
If you want to learn more about divisions, you can read:
brainly.com/question/7068223
Step-by-step explanation:
we have to change symbol when dividing by negative number
y < 161 / 7
but in second
y > -161/7